Question

Solve for x in the simplest form 11=1/2(x+8)

Answer 1

Answer:

X = 14

Step-by-step explanation:

Equation:

11 = 1/2(x + 8)

1. Start with distribution

11 = 1/2(x + 8)

1/2(x) + 1/2(8)

1/2x + 8/2

= 1/2x + 4

2. Make the sides equal to x

11 = 1/2x + 4

-4            - 4

7 = 1/2x

3. Divide both sides by 1/2

7 = 1/2x

*2     *2

14 = x

The final answer is x = 14.

Hope this helped,

Kavitha

Answer 2

Answer:

$\boxed{\sf x = 14}$

Step-by-step explanation:

Solve for x:

$\sf \implies 11 = \frac{1}{2} (x + 8)$

$\sf 11 = \frac{1}{2} (x + 8) \: is \: equivalent \: to \: \frac{1}{2} (x + 8) = 11 :$

$\sf \implies \frac{1}{2} (x + 8) = 11$

$\sf Multiply \: both \: sides \: of \: \frac{1}{2} (x + 8) = 11 \: by \: 2 :$

$\sf \implies \frac{1}{ \cancel{2}} (x + 8) \times \cancel{2 }= 11 \times 2$

$\sf \implies 1(x + 8) = 11 \times 2$

11 × 2 = 22:

$\sf \implies x + 8 = 22$

Subtract 8 from both sides:

$\sf \implies x + (8 - 8) = 22 - 8$

8 - 8 = 0:

$\sf \implies x = 22 - 8$

22 - 8 = 14:

$\sf \implies x = 14$